Least Common Multiple (LCM) of 163 and 49
The least common multiple (LCM) of 163 and 49 is 7987.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 163 and 49?
First, calculate the GCD of 163 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 49 = 3 remainder 16 |
| 2 | 49 ÷ 16 = 3 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 33 | 198 |
| 72 and 101 | 7272 |
| 180 and 60 | 180 |
| 13 and 153 | 1989 |
| 172 and 32 | 1376 |